1. Mrs. Rivas
Mid-Chapter Check Point
Pg # 1-32 All

2. Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.

3. Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.

4. Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.

5. Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.

6. Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.

7. Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.

8. Mrs. Rivas
In Exercises 7–8, find the area of the triangle having the given measurements. Round to the nearest square unit.

9. Mrs. Rivas
In Exercises 7–8, find the area of the triangle having the given measurements. Round to the nearest square unit.

10. Mrs. Rivas
9. Two trains leave a station on different tracks that make an angle of 110° with the station as vertex. The first train travels at an average rate of 50 miles per hour and the second train travels at an average rate of 40 miles per hour. How far apart, to the nearest tenth of a mile, are the trains after 2 hours?

11. Mrs. Rivas
10. Two fire-lookout stations are 16 miles apart, with station B directly east of station A. Both stations spot a fire on a mountain to the south. The bearing from station A to the fire is S56°E. The bearing from station B to the fire is S23°W. How far, to the nearest tenth of a mile, is the fire from station A?

12. Mrs. Rivas
11. A tree that is perpendicular to the ground sits on a straight line between two people located 420 feet apart. The angles of elevation from each person to the top of the tree measure 50° and 66°, respectively. How tall, to the nearest tenth of a foot, is the tree?

13. Mrs. Rivas
In Exercises 12–15, convert the given coordinates to the indicated
ordered pair.

14. Mrs. Rivas
In Exercises 12–15, convert the given coordinates to the indicated
ordered pair.

15. Mrs. Rivas
In Exercises 12–15, convert the given coordinates to the indicated
ordered pair.

16. Mrs. Rivas
In Exercises 12–15, convert the given coordinates to the indicated
ordered pair.

17. Mrs. Rivas
In Exercises 16–17, plot each point in polar coordinates. Then find
another representation 𝑟,𝜃 of this point in which:

18. Mrs. Rivas
In Exercises 16–17, plot each point in polar coordinates. Then find
another representation 𝑟,𝜃 of this point in which:

19. Mrs. Rivas
In Exercises 18–20, convert each rectangular equation to a polar
equation that expresses in terms of 𝜃.

20. Mrs. Rivas
In Exercises 18–20, convert each rectangular equation to a polar
equation that expresses in terms of 𝜃.

21. Mrs. Rivas
In Exercises 18–20, convert each rectangular equation to a polar
equation that expresses in terms of 𝜃.

22. Mrs. Rivas
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.

23. Mrs. Rivas
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.

24. Mrs. Rivas
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.

25. Mrs. Rivas
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.

26. Mrs. Rivas
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.

27. Mrs. Rivas
In Exercises 26–27, test for symmetry with respect to

28. Mrs. Rivas
In Exercises 26–27, test for symmetry with respect to

29. Mrs. Rivas
In Exercises 28–32, graph each polar equation. Be sure to test for
symmetry.

30. Mrs. Rivas
In Exercises 28–32, graph each polar equation. Be sure to test for
symmetry.

31. Mrs. Rivas
In Exercises 28–32, graph each polar equation. Be sure to test for
symmetry.

32. Mrs. Rivas
In Exercises 28–32, graph each polar equation. Be sure to test for
symmetry.

33. Mrs. Rivas
In Exercises 28–32, graph each polar equation. Be sure to test for
symmetry.